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Finding the Fourth Proportional to 179,776.46, 269,662.52 and 46,644.86

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Solution

The fourth proportional to 179,776.46, 269,662.52 and 46,644.86 is: 69,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,776.46 : 269,662.52 = 46,644.86 : x
  2. Step 2: Convert to fraction form
    179,776.46/269,662.52 = 46,644.86/x
  3. Step 3: Cross multiply
    179,776.46x = 269,662.52 × 46,644.86
  4. Step 4: Simplify right side
    179,776.46x = 12,578,370,492.65
  5. Step 5: Solve for x
    x = 12,578,370,492.65/179,776.46
  6. Step 6: Final answer
    x = 69,966.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.